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Finding the Fourth Proportional to 515.94, 712.11 and 295.01

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Solution

The fourth proportional to 515.94, 712.11 and 295.01 is: 407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.94 : 712.11 = 295.01 : x
  2. Step 2: Convert to fraction form
    515.94/712.11 = 295.01/x
  3. Step 3: Cross multiply
    515.94x = 712.11 × 295.01
  4. Step 4: Simplify right side
    515.94x = 210,078.13
  5. Step 5: Solve for x
    x = 210,078.13/515.94
  6. Step 6: Final answer
    x = 407.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.